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base_adolc.hpp.xml @upstream/2015.00.00.7 — raw · history · blame
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 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Base Adolc's enable use of ad<base> where base is adolc's type syntax example include files condexpop equalopseq identical integer ordered unary standard math erf sign abs pow limits "/> <style type='text/css'> body { color : black } body { background-color : white } A:link { color : blue } A:visited { color : purple } A:active { color : purple } </style> <script type='text/javascript' language='JavaScript' src='_base_adolc.hpp_xml.js'> </script> </head> <body> <table><tr> <td> <a href="http://www.coin-or.org/CppAD/" target="_top"><img border="0" src="_image.gif"/></a> </td> <td><a href="base_require.cpp.xml" target="_top">Prev</a> </td><td><a href="mul_level_adolc.cpp.xml" target="_top">Next</a> </td><td> <select onchange='choose_across0(this)'> <option>Index-></option> <option>contents</option> <option>reference</option> <option>index</option> <option>search</option> <option>external</option> </select> </td> <td> <select onchange='choose_up0(this)'> <option>Up-></option> <option>CppAD</option> <option>AD</option> <option>base_require</option> <option>base_example</option> <option>base_adolc.hpp</option> </select> </td> <td> <select onchange='choose_down3(this)'> <option>AD-></option> <option>ad_ctor</option> <option>ad_assign</option> <option>Convert</option> <option>ADValued</option> <option>BoolValued</option> <option>VecAD</option> <option>base_require</option> </select> </td> <td> <select onchange='choose_down2(this)'> <option>base_require-></option> <option>base_member</option> <option>base_cond_exp</option> <option>base_identical</option> <option>base_ordered</option> <option>base_std_math</option> <option>base_example</option> </select> </td> <td> <select onchange='choose_down1(this)'> <option>base_example-></option> <option>base_alloc.hpp</option> <option>base_require.cpp</option> <option>base_adolc.hpp</option> <option>base_float.hpp</option> <option>base_double.hpp</option> <option>base_complex.hpp</option> </select> </td> <td> <select onchange='choose_down0(this)'> <option>base_adolc.hpp-></option> <option>mul_level_adolc.cpp</option> </select> </td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>Syntax</option> <option>Example</option> <option>Include Files</option> <option>CondExpOp</option> <option>EqualOpSeq</option> <option>Identical</option> <option>Integer</option> <option>Ordered</option> <option>Unary Standard Math</option> <option>erf</option> <option>sign</option> <option>abs</option> <option>pow</option> <option>limits</option> </select> </td> </tr></table><br/> <center><b><big><big>Enable use of AD<Base> where Base is Adolc's adouble Type</big></big></b></center> <br/> <b><big><a name="Syntax" id="Syntax">Syntax</a></big></b> <br/> <code><font color="blue"><span style='white-space: nowrap'># include <cppad/example/base_adolc.hpp><br/> </span></font></code> <br/> <b><big><a name="Example" id="Example">Example</a></big></b> <br/> The file <a href="mul_level_adolc.cpp.xml" target="_top"><span style='white-space: nowrap'>mul_level_adolc.cpp</span></a> contains an example use of Adolc's <code><font color="blue">adouble</font></code> type for a CppAD <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> type. It returns true if it succeeds and false otherwise. The file <a href="mul_level_adolc_ode.cpp.xml" target="_top"><span style='white-space: nowrap'>mul_level_adolc_ode.cpp</span></a> contains a more realistic (and complex) example. <br/> <br/> <b><big><a name="Include Files" id="Include Files">Include Files</a></big></b> <br/> This file <code><font color="blue">base_adolc.hpp</font></code> requires <code><font color="blue">adouble</font></code> to be defined. In addition, it is included before <code><font color="blue"><cppad/cppad.hpp></font></code>, but it needs to include parts of CppAD that are used by this file. This is done with the following include commands: <code><font color='blue'><pre style='display:inline'> # include <adolc/adolc.h> # include <cppad/base_require.hpp> </pre></font></code> <br/> <br/> <b><big><a name="CondExpOp" id="CondExpOp">CondExpOp</a></big></b> <br/> The type <code><font color="blue">adouble</font></code> supports a conditional assignment function with the syntax <code><font color="blue"><span style='white-space: nowrap'><br/>      condassign(</span></font><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>c</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>d</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font></code> which evaluates to <code><font color="blue"><span style='white-space: nowrap'><br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'> = (</span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'> > 0) ? </span></font><i><font color="black"><span style='white-space: nowrap'>c</span></font></i><font color="blue"><span style='white-space: nowrap'> : </span></font><i><font color="black"><span style='white-space: nowrap'>d</span></font></i><font color="blue"><span style='white-space: nowrap'>;<br/> </span></font></code> This enables one to include conditionals in the recording of <code><font color="blue">adouble</font></code> operations and later evaluation for different values of the independent variables (in the same spirit as the CppAD <a href="condexp.xml" target="_top"><span style='white-space: nowrap'>CondExp</span></a> function). <code><font color='blue'><pre style='display:inline'> namespace CppAD { inline adouble CondExpOp( enum CppAD::CompareOp cop , const adouble &left , const adouble &right , const adouble &trueCase , const adouble &falseCase ) { adouble result; switch( cop ) { case CompareLt: // left < right condassign(result, right - left, trueCase, falseCase); break; case CompareLe: // left <= right condassign(result, left - right, falseCase, trueCase); break; case CompareEq: // left == right condassign(result, left - right, falseCase, trueCase); condassign(result, right - left, falseCase, result); break; case CompareGe: // left >= right condassign(result, right - left, falseCase, trueCase); break; case CompareGt: // left > right condassign(result, left - right, trueCase, falseCase); break; default: CppAD::ErrorHandler::Call( true , __LINE__ , __FILE__ , "CppAD::CondExp", "Error: for unknown reason." ); result = trueCase; } return result; } } </pre></font></code> <br/> <br/> <b><big><a name="EqualOpSeq" id="EqualOpSeq">EqualOpSeq</a></big></b> <br/> The Adolc user interface does not specify a way to determine if two <code><font color="blue">adouble</font></code> variables correspond to the same operations sequence. Make <code><font color="blue">EqualOpSeq</font></code> an error if it gets used: <code><font color='blue'><pre style='display:inline'> namespace CppAD { inline bool EqualOpSeq(const adouble &x, const adouble &y) { CppAD::ErrorHandler::Call( true , __LINE__ , __FILE__ , "CppAD::EqualOpSeq(x, y)", "Error: adouble does not support EqualOpSeq." ); return false; } } </pre></font></code> <br/> <br/> <b><big><a name="Identical" id="Identical">Identical</a></big></b> <br/> The Adolc user interface does not specify a way to determine if an <code><font color="blue">adouble</font></code> depends on the independent variables. To be safe (but slow) return <code><font color="blue">false</font></code> in all the cases below. <code><font color='blue'><pre style='display:inline'> namespace CppAD { inline bool IdenticalPar(const adouble &x) { return false; } inline bool IdenticalZero(const adouble &x) { return false; } inline bool IdenticalOne(const adouble &x) { return false; } inline bool IdenticalEqualPar(const adouble &x, const adouble &y) { return false; } } </pre></font></code> <br/> <br/> <b><big><a name="Integer" id="Integer">Integer</a></big></b> <code><font color='blue'><pre style='display:inline'> inline int Integer(const adouble &x) { return static_cast<int>( x.getValue() ); } </pre></font></code> <br/> <br/> <b><big><a name="Ordered" id="Ordered">Ordered</a></big></b> <code><font color='blue'><pre style='display:inline'> namespace CppAD { inline bool GreaterThanZero(const adouble &x) { return (x > 0); } inline bool GreaterThanOrZero(const adouble &x) { return (x >= 0); } inline bool LessThanZero(const adouble &x) { return (x < 0); } inline bool LessThanOrZero(const adouble &x) { return (x <= 0); } inline bool abs_geq(const adouble& x, const adouble& y) { return fabs(x) >= fabs(y); } } </pre></font></code> <br/> <br/> <b><big><a name="Unary Standard Math" id="Unary Standard Math">Unary Standard Math</a></big></b> <br/> The following <a href="base_require.xml" target="_top"><span style='white-space: nowrap'>required</span></a> functions are defined by the Adolc package for the <code><font color="blue">adouble</font></code> base case: <code><span style='white-space: nowrap'><br/> </span></code><code><font color="blue">acos</font></code>, <code><font color="blue">asin</font></code>, <code><font color="blue">atan</font></code>, <code><font color="blue">cos</font></code>, <code><font color="blue">cosh</font></code>, <code><font color="blue">exp</font></code>, <code><font color="blue">fabs</font></code>, <code><font color="blue">log</font></code>, <code><font color="blue">sin</font></code>, <code><font color="blue">sinh</font></code>, <code><font color="blue">sqrt</font></code>, <code><font color="blue">tan</font></code>. <br/> <br/> <b><big><a name="erf" id="erf">erf</a></big></b> <br/> If the error function is supported by the compiler, it must also be supported by a <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> type; see <a href="base_std_math.xml#erf" target="_top"><span style='white-space: nowrap'>erf</span></a> . The adolc package does not support this function: <code><font color='blue'><pre style='display:inline'> namespace CppAD { # if CPPAD_COMPILER_HAS_ERF inline adouble erf(const adouble& x) { CPPAD_ASSERT_KNOWN( false, "erf: adolc does not support the error function" ); return 0; } # endif } </pre></font></code> <br/> <br/> <b><big><a name="sign" id="sign">sign</a></big></b> <br/> This <a href="base_require.xml" target="_top"><span style='white-space: nowrap'>required</span></a> function is defined using the <code><font color="blue">codassign</font></code> function so that its <code><font color="blue">adouble</font></code> operation sequence does not depend on the value of <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> . <code><font color='blue'><pre style='display:inline'> namespace CppAD { inline adouble sign(const adouble& x) { adouble s_plus, s_minus, half(.5); // set s_plus to sign(x)/2, except for case x == 0, s_plus = -.5 condassign(s_plus, +x, -half, +half); // set s_minus to -sign(x)/2, except for case x == 0, s_minus = -.5 condassign(s_minus, -x, -half, +half); // set s to sign(x) return s_plus - s_minus; } } </pre></font></code> <br/> <br/> <b><big><a name="abs" id="abs">abs</a></big></b> <br/> This <a href="base_require.xml" target="_top"><span style='white-space: nowrap'>required</span></a> function uses the adolc <code><font color="blue">fabs</font></code> function: <code><font color='blue'><pre style='display:inline'> namespace CppAD { inline adouble abs(const adouble& x) { return fabs(x); } } </pre></font></code> <br/> <br/> <b><big><a name="pow" id="pow">pow</a></big></b> <br/> This <a href="base_require.xml" target="_top"><span style='white-space: nowrap'>required</span></a> function is defined by the Adolc package for the <code><font color="blue">adouble</font></code> base case. <br/> <br/> <b><big><a name="limits" id="limits">limits</a></big></b> <br/> The following defines the numeric limits functions <code><font color="blue">epsilon</font></code>, <code><font color="blue">min</font></code>, and <code><font color="blue">max</font></code> for the type <code><font color="blue">adouble</font></code>. It also defines the deprecated <code><font color="blue">epsilon</font></code> function: <code><font color='blue'><pre style='display:inline'> namespace CppAD { template <> class numeric_limits<adouble> { public: // machine epsilon static adouble epsilon(void) { return adouble( std::numeric_limits<double>::epsilon() ); } // minimum positive normalized value static adouble min(void) { return adouble( std::numeric_limits<float>::min() ); } // maximum finite value static adouble max(void) { return adouble( std::numeric_limits<float>::max() ); } }; // deprecated machine epsilon template <> inline adouble epsilon<adouble>(void) { return numeric_limits<adouble>::epsilon(); } } </pre></font></code> <hr/>Input File: cppad/example/base_adolc.hpp </body> </html> |